3 papers
cond-mat.soft2004
Nonlinear waves in double-stranded DNA
Natalia Komarova, Avy Soffer
We propose a nonlinear model derived from first principles, to describe bubble dynamics of DNA. Our model equations include a term derived from the dissipative effect of intermolec…
math.PR2001
Harmonic mean, random polynomials and stochastic matrices
Natalia Komarova, Igor Rivin
Motivated by a problem in learning theory, we are led to study the dominant eigenvalue of a class of random matrices. This turns out to be related to the roots of the derivative of…
math.PR2001
Mathematics of learning
Natalia Komarova, Igor Rivin
We study the convergence properties of a pair of learning algorithms (learning with and without memory). This leads us to study the dominant eigenvalue of a class of random matrice…